Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations

DOI10.1088/0305-4470/35/15/311zbMath1031.76042OpenAlexW2098647384MaRDI QIDQ4545267

Sergey V. Meleshko

Publication date: 15 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/35/15/311

zbMATH Keywords

invariant solutionscylindrical symmetryplane symmetry

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (6)

Group analysis of the generalized Burnett equations ⋮ Symmetry classification of collapsible tube model incorporating tension ⋮ On the optimal systems of subalgebras for the equations of hydrodynamic stability analysis of smooth shear flows and their group-invariant solutions ⋮ Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state ⋮ Comment on ‘Conformal invariance of the Lundgren–Monin–Novikov equations for vorticity fields in 2D turbulence’ ⋮ Comment on ‘Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence’

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